Answer:
Sofia would have the stronger orange flavor with the ratio being 4 to 8 while Sarah's ratio would be 3 to 9. Sofia has the more orange flavor because she added 4 liters of it into her mixture while Sarah only added 3
If you need it to be explained further just let me know and I will put it in the comments, I try to make my answers as straightforward as possible. :)
Answer:
23
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = x² - 4
f(x) = -2x - 3
g(-6) is x = -6 for function g(x)
f(-6) is x = -6 for function f(x)
<u>Step 2: Evaluate</u>
g(-6)
- Substitute in <em>x</em>: g(-6) = (-6)² - 4
- Exponents: g(-6) = 36 - 4
- Subtract: g(-6) = 32
f(-6)
- Substitute in <em>x</em>: f(-6) = -2(-6) - 3
- Multiply: f(-6) = 12 - 3
- Subtract: f(-6) = 9
g(-6) - f(-6)
- Substitute: 32 - 9
- Subtract: 23
9 out of the 15 runners completed the time trial between 52.0 and 53.9 seconds so 9/15 is the percentage you are trying to find. If you divide 9 by 15 and then multiply the decimal by 100, you will have your percentage.
Answer:
y = 4(x + 2)^2 - 20.
or in standard form it is
y = 4x^2+ 16x - 4.
Step-by-step explanation:
The equation in vertex form will be:
y = a(x + 2)^2 - 20 where a is some constant.
The y-intercept is (0, -12) so:
-12 = a(0 + 2) - 20
2a = -12 + 20 = 8
a = 4.